Some applications of fuzzy sets in residuated lattices
Cristina Flaut, Dana Piciu, Bianca Liana Bercea
TL;DR
This paper investigates residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets in residuated lattices are presented.
Abstract
In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory and lattice theory point of view. Ideals are important concepts in the theory of algebraic structures used for formal fuzzy logic and first, we investigate the lattice of fuzzy ideals in residuated lattices. Then we present applications of fuzzy sets in Coding Theory and we study connections between fuzzy sets associated to ideals and Hadamard codes.